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Finding the Fourth Proportional to 972.02, 1,455.60 and 948.80

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Solution

The fourth proportional to 972.02, 1,455.60 and 948.80 is: 1,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.02 : 1,455.60 = 948.80 : x
  2. Step 2: Convert to fraction form
    972.02/1,455.60 = 948.80/x
  3. Step 3: Cross multiply
    972.02x = 1,455.60 × 948.80
  4. Step 4: Simplify right side
    972.02x = 1,381,073.28
  5. Step 5: Solve for x
    x = 1,381,073.28/972.02
  6. Step 6: Final answer
    x = 1,420.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.